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Finding the Fourth Proportional to 269,200.20, 403,800.30 and 174,721.80

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Solution

The fourth proportional to 269,200.20, 403,800.30 and 174,721.80 is: 262,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,200.20 : 403,800.30 = 174,721.80 : x
  2. Step 2: Convert to fraction form
    269,200.20/403,800.30 = 174,721.80/x
  3. Step 3: Cross multiply
    269,200.20x = 403,800.30 × 174,721.80
  4. Step 4: Simplify right side
    269,200.20x = 70,552,715,256.54
  5. Step 5: Solve for x
    x = 70,552,715,256.54/269,200.20
  6. Step 6: Final answer
    x = 262,082.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.